Question

question 1 of 5
serena constructed a wire barrier to protect her tomato plant from squirrels.
the barrier is 2.5 feet from the tomato plant in every direction.
which statement describes the shape of the barrier?
a. a circle with a diameter of 5 feet
b. a circle with a radius of 5 feet
c. a square with diagonals 5 feet long
d. a square with sides 5 feet long

Explanation:

Step1: Recall the definition of a circle

A circle is the set of all points in a plane that are at a given distance (radius) from a given point (center). Here, the tomato plant is the center and the distance from the plant to the barrier (2.5 feet) is the radius.

Step2: Calculate the diameter

The formula for the diameter \(d\) of a circle is \(d = 2r\), where \(r\) is the radius. Given \(r=2.5\) feet, then \(d = 2\times2.5=5\) feet.

Answer:

A. a circle with a diameter of 5 feet